In a 2-dimensional plane, a vector thus can be expressed as: 1. A = Ax î + Ay ĵ where, Ax = A cosθ and Ay = A sinθ
2. A =
Analytical Method of Vector Addition Vectors Sum of the vectors Subtraction of the vectors
A =
Ax î + Ay ĵ and
B =
Bx î + By ĵ
R = A + B R = Rx î + Ry ĵwhere
Rx = Ax + BxandRy = Ay + By
R = A- B R = Rx î + Ry ĵwhere
Rx = Ax- BxandRy = Ay- By
A =
Ax î + Ay ĵ + Azk̂
B =
Bx î + By ĵ + Bzk̂
R = A + B R = Rx î + Ry ĵ + Rzk̂ where
Rx = Ax + BxandRy = Ay + By a ndRz = Az + Bz
R = A- B R = Rx î + Ry ĵ + Rzk̂ where
Rx = Ax- BxandRy = Ay- Bya ndRz = Az- Bz